Global Trends of Nuclear Radii and Binding Energies from the NUCLEI-PACK Framework
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908544205324288 |
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| author | Maridi, H. M. |
| author_facet | Maridi, H. M. |
| contents | I present a proof-of-concept study of nuclear radii and binding energies within NUCLEI-PACK, a novel semi-classical framework based on optimized sphere packing of nucleons and clusters. In this approach, proton and neutron positions are determined through a constrained packing algorithm with uniform nucleon radii, followed by global optimization across the nuclear chart ($1 \leq A \leq 250$). From these geometric configurations, I compute charge and matter radii, as well as binding energies. The model successfully reproduces global trends in nuclear size and stability, while maintaining transparency and computational efficiency. A fit of the Coulomb and surface terms of the semi-empirical mass formula shows remarkable agreement with theoretical expectations. These results establish the feasibility of NUCLEI-PACK as a systematic tool for describing nuclear bulk properties across the chart of nuclides. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13750 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global Trends of Nuclear Radii and Binding Energies from the NUCLEI-PACK Framework Maridi, H. M. Nuclear Theory I present a proof-of-concept study of nuclear radii and binding energies within NUCLEI-PACK, a novel semi-classical framework based on optimized sphere packing of nucleons and clusters. In this approach, proton and neutron positions are determined through a constrained packing algorithm with uniform nucleon radii, followed by global optimization across the nuclear chart ($1 \leq A \leq 250$). From these geometric configurations, I compute charge and matter radii, as well as binding energies. The model successfully reproduces global trends in nuclear size and stability, while maintaining transparency and computational efficiency. A fit of the Coulomb and surface terms of the semi-empirical mass formula shows remarkable agreement with theoretical expectations. These results establish the feasibility of NUCLEI-PACK as a systematic tool for describing nuclear bulk properties across the chart of nuclides. |
| title | Global Trends of Nuclear Radii and Binding Energies from the NUCLEI-PACK Framework |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2509.13750 |